Is it correct that a sphere of water the size of Venus's orbit would instantly be a black hole?

Asked Jun 16 '21 at 13:40

Active Jul 13 '21 at 10:20

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Let's say I have a genie and wish for a sphere of water at earth density the size of Venus' orbit - would it be instantly indistinguishable from a supermassive black hole due to the schwarzchild radius exceeding the volume at normal density?

Would it also outweigh Sagittarius A* at 150 million Suns?

I've taken the Schwarzchild radius formula, the density formula, and solved for r with the density of 1000 kg/m^3

Apologies, I don't know how to do formula in stack overflow.

edited Jul 13 '21 at 10:20

Qmechanic

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asked Jun 16 '21 at 13:40

jamesdwalker

2

Does this answer your question? How can super massive black holes have a lower density than water? – John Rennie Jun 16 '21 at 16:09
3

Also see Can I eat myself into a black hole? which despite the odd title does calculate the size of a black hole with the density of water. – John Rennie Jun 16 '21 at 16:13
I believe the mass of your sphere of water would be about 2.1 million Suns, which is about half of the mass of Sgr A*. – Peter Erwin Jul 12 '21 at 15:24

Is it correct that a sphere of water the size of Venus's orbit would instantly be a black hole?

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